Metrics for Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1, D

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze361.0ms (6.6%)

Memory

9.5MiB live, 522.6MiB allocated; 54ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
0%	0%	99.8%	0.2%	0%	0%	0%	8
4.2%	3.1%	71.7%	0.2%	0%	25%	0%	9
4.2%	3.1%	71.3%	0.2%	0%	25.3%	0%	10
6.3%	4.7%	69.2%	0.2%	0%	25.9%	0%	11
9.2%	6.6%	65.8%	0.2%	0%	27.4%	0%	12

Compiler

Compiled 21 to 20 computations (4.8% saved)

sample4.3s (79.6%)

Memory

121.3MiB live, 5 362.5MiB allocated; 1.3s collecting garbage

Samples

1.9s	15 480×	0	invalid
1.1s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.1s

ival-mult: 913.0ms (42.9% of total)

ival-div: 780.0ms (36.7% of total)

ival-sqrt: 210.0ms (9.9% of total)

ival-acos: 159.0ms (7.5% of total)

exact: 49.0ms (2.3% of total)

ival-assert: 8.0ms (0.4% of total)

adjust: 7.0ms (0.3% of total)

Bogosity

explain198.0ms (3.6%)

Memory

12.9MiB live, 395.8MiB allocated; 83ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
31	-	2	(-1.1030492622851038e-304 -2438597452502853.5 2.931689498201022e-169 3.9648983012221616e+239)	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
19	-	0	-	`(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`
0	-	0	-	`t`
0	-	0	-	`#s(literal 3 binary64)`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
0	-	0	-	`(*.f64 y #s(literal 27 binary64))`
0	-	0	-	`y`
0	-	0	-	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
0	-	0	-	`#s(literal 27 binary64)`
0	-	0	-	`z`
0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))`
0	-	0	-	`(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(*.f64 z #s(literal 2 binary64))`
0	-	0	-	`(sqrt.f64 t)`
0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`	u/n	28	0
↳	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`	underflow	59
↳	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`	underflow	59
`*.f64`	`(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`	*nu**	19	0
`/.f64`	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`	o/n	1	0
↳	`(*.f64 y #s(literal 27 binary64))`	overflow	1
↳	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`	overflow	1
↳	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`	overflow	1

Confusion

	Predicted +	Predicted -
+	1	0
-	47	208

Precision

0.020833333333333332

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	47	0	208

Precision?

0.020833333333333332

Recall?

1.0

Freqs

test

number	freq
0	208
1	48

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

80.0ms

512×

valid

Compiler

Compiled 203 to 58 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-acos: 23.0ms (42.3% of total)

ival-mult: 15.0ms (27.6% of total)

ival-div: 10.0ms (18.4% of total)

ival-sqrt: 4.0ms (7.4% of total)

exact: 1.0ms (1.8% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess228.0ms (4.2%)

Memory

12.0MiB live, 240.5MiB allocated; 73ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	92	263
1	287	227
2	1042	197
3	3987	197
4	7017	197
0	18	17
0	29	17
1	50	15
2	137	13
3	494	13
4	2142	13
5	5176	13
0	8214	13

Stop Event

1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Calls

Call 1

Inputs

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

Outputs

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 3 binary64)) x) y) #s(literal 2 binary64)) #s(literal 54 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64))

Symmetry

(sort y z)

Compiler

Compiled 19 to 18 computations (5.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

Status

Accuracy

Program

▶

98.5%

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

Compiler

Compiled 19 to 18 computations (5.3% saved)

series37.0ms (0.7%)

Memory

-4.2MiB live, 86.6MiB allocated; 8ms collecting garbage

Counts

18 → 17

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
(/.f64 x (*.f64 y #s(literal 27 binary64)))
x
(*.f64 y #s(literal 27 binary64))
y
#s(literal 27 binary64)
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(sqrt.f64 t)
t

Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (* 3 (/ x (* y 27))) #s(hole binary64 (* 1/9 (/ x y))))
#s(approx (/ x (* y 27)) #s(hole binary64 (* 1/27 (/ x y))))
#s(approx x #s(hole binary64 x))
#s(approx (* y 27) #s(hole binary64 (* 27 y)))
#s(approx y #s(hole binary64 y))
#s(approx (* z 2) #s(hole binary64 (* 2 z)))
#s(approx z #s(hole binary64 z))
#s(approx (sqrt t) #s(hole binary64 (sqrt t)))
#s(approx t #s(hole binary64 t))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (sqrt t) #s(hole binary64 (* -1 (* (sqrt t) (pow (sqrt -1) 2)))))

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	t	@	0	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (/ x (* y 27)) x (* y 27) y 27 (* z 2) z 2 (sqrt t) t)
5.0ms	x	@	-inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (/ x (* y 27)) x (* y 27) y 27 (* z 2) z 2 (sqrt t) t)
4.0ms	y	@	0	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (/ x (* y 27)) x (* y 27) y 27 (* z 2) z 2 (sqrt t) t)
4.0ms	x	@	inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (/ x (* y 27)) x (* y 27) y 27 (* z 2) z 2 (sqrt t) t)
3.0ms	x	@	0	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (/ x (* y 27)) x (* y 27) y 27 (* z 2) z 2 (sqrt t) t)

rewrite36.0ms (0.7%)

Memory

16.9MiB live, 62.1MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	353
0	90	340
0	186	340

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

35 → 51

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
(/.f64 x (*.f64 y #s(literal 27 binary64)))
x
(*.f64 y #s(literal 27 binary64))
y
#s(literal 27 binary64)
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(sqrt.f64 t)
t
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (* 3 (/ x (* y 27))) #s(hole binary64 (* 1/9 (/ x y))))
#s(approx (/ x (* y 27)) #s(hole binary64 (* 1/27 (/ x y))))
#s(approx x #s(hole binary64 x))
#s(approx (* y 27) #s(hole binary64 (* 27 y)))
#s(approx y #s(hole binary64 y))
#s(approx (* z 2) #s(hole binary64 (* 2 z)))
#s(approx z #s(hole binary64 z))
#s(approx (sqrt t) #s(hole binary64 (sqrt t)))
#s(approx t #s(hole binary64 t))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (sqrt t) #s(hole binary64 (* -1 (* (sqrt t) (pow (sqrt -1) 2)))))

Outputs
(.f64 (acos.f64 (.f64 (pow.f64 t #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64))))) #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (pow.f64 t #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64))))))
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (.f64 (pow.f64 t #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64))))))
(acos.f64 (.f64 (pow.f64 t #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64)))))
(.f64 (pow.f64 t #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64))))
(.f64 (.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64))) (pow.f64 t #s(literal 1/2 binary64)))
(/.f64 (.f64 (.f64 (/.f64 x (.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (pow.f64 t #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) z))
(.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64)))
(.f64 #s(literal 3 binary64) (/.f64 (/.f64 x (.f64 #s(literal 27 binary64) y)) (*.f64 #s(literal 2 binary64) z)))
(/.f64 (/.f64 (.f64 (/.f64 x (.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) z) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 (/.f64 x (.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) z)))
(/.f64 (.f64 (/.f64 x (.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) z))
(.f64 (/.f64 x (.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) (/.f64 x (.f64 #s(literal 27 binary64) y)))
(/.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 27 binary64) y))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 #s(literal 27 binary64) y)))
(/.f64 (/.f64 x y) #s(literal 27 binary64))
(/.f64 x (*.f64 #s(literal 27 binary64) y))
x
(*.f64 #s(literal 27 binary64) y)
(*.f64 y #s(literal 27 binary64))
y
#s(literal 27 binary64)
(*.f64 #s(literal 2 binary64) z)
(*.f64 z #s(literal 2 binary64))
(+.f64 z z)
z
#s(literal 2 binary64)
(pow.f64 t #s(literal 1/2 binary64))
(sqrt.f64 t)
t
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (pow.f64 t #s(literal 1/2 binary64))) (/.f64 x (.f64 z y)))) #s(literal 1/3 binary64)))
#s(approx (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (pow.f64 t #s(literal 1/2 binary64))) (/.f64 x (*.f64 z y)))))
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (.f64 (.f64 #s(literal 1/18 binary64) (pow.f64 t #s(literal 1/2 binary64))) (/.f64 x (*.f64 z y))))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64)))
#s(approx (* 3 (/ x (* y 27))) (*.f64 (/.f64 x y) #s(literal 1/9 binary64)))
#s(approx (/ x (* y 27)) (*.f64 #s(literal 1/27 binary64) (/.f64 x y)))
#s(approx x x)
#s(approx (* y 27) (*.f64 #s(literal 27 binary64) y))
#s(approx y y)
#s(approx (* z 2) (*.f64 #s(literal 2 binary64) z))
#s(approx z z)
#s(approx (sqrt t) (pow.f64 t #s(literal 1/2 binary64)))
#s(approx t t)
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (pow.f64 t #s(literal 1/2 binary64))) (.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))) #s(literal 1/3 binary64)))
#s(approx (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (pow.f64 t #s(literal 1/2 binary64))) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))))
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (.f64 (.f64 #s(literal -1/18 binary64) (pow.f64 t #s(literal 1/2 binary64))) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z))))
#s(approx (sqrt t) (.f64 (.f64 #s(literal -1 binary64) (pow.f64 t #s(literal 1/2 binary64))) #s(literal -1 binary64)))

eval5.0ms (0.1%)

Memory: 13.5MiB live, 13.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 132 to 221 computations (80.5% saved)

prune54.0ms (1%)

Memory

-31.8MiB live, 79.2MiB allocated; 47ms collecting garbage

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	1	53

Accuracy

98.5%

Counts

53 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 27 binary64) y)) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

Status

Accuracy

Program

▶

98.5%

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 27 binary64) y)) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

Compiler

Compiled 19 to 18 computations (5.3% saved)

series20.0ms (0.4%)

Memory

-2.1MiB live, 44.9MiB allocated; 2ms collecting garbage

Counts

18 → 17

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 27 binary64) y)) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
(acos.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 27 binary64) y)) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
(.f64 (/.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 27 binary64) y)) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 27 binary64) y)) (*.f64 z #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 27 binary64) y))
(*.f64 #s(literal 3 binary64) x)
x
(*.f64 #s(literal 27 binary64) y)
#s(literal 27 binary64)
y
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(sqrt.f64 t)
t

Outputs
#s(approx (* (/ 1 3) (acos (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (/ (/ (* 3 x) (* 27 y)) (* z 2)) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (/ (* 3 x) (* 27 y)) #s(hole binary64 (* 1/9 (/ x y))))
#s(approx (* 3 x) #s(hole binary64 (* 3 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* 27 y) #s(hole binary64 (* 27 y)))
#s(approx y #s(hole binary64 y))
#s(approx (* z 2) #s(hole binary64 (* 2 z)))
#s(approx z #s(hole binary64 z))
#s(approx (sqrt t) #s(hole binary64 (sqrt t)))
#s(approx t #s(hole binary64 t))
#s(approx (* (/ 1 3) (acos (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (acos (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (sqrt t) #s(hole binary64 (* -1 (* (sqrt t) (pow (sqrt -1) 2)))))

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	((* (/ 1 3) (acos (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t))) (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t)) (/ (/ (* 3 x) (* 27 y)) (* z 2)) (/ (* 3 x) (* 27 y)) (* 3 x) x (* 27 y) 27 y (* z 2) z 2 (sqrt t) t)
2.0ms	x	@	inf	((* (/ 1 3) (acos (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t))) (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t)) (/ (/ (* 3 x) (* 27 y)) (* z 2)) (/ (* 3 x) (* 27 y)) (* 3 x) x (* 27 y) 27 y (* z 2) z 2 (sqrt t) t)
2.0ms	x	@	-inf	((* (/ 1 3) (acos (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t))) (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t)) (/ (/ (* 3 x) (* 27 y)) (* z 2)) (/ (* 3 x) (* 27 y)) (* 3 x) x (* 27 y) 27 y (* z 2) z 2 (sqrt t) t)
2.0ms	y	@	-inf	((* (/ 1 3) (acos (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t))) (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t)) (/ (/ (* 3 x) (* 27 y)) (* z 2)) (/ (* 3 x) (* 27 y)) (* 3 x) x (* 27 y) 27 y (* z 2) z 2 (sqrt t) t)
2.0ms	x	@	0	((* (/ 1 3) (acos (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t))) (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t)) (/ (/ (* 3 x) (* 27 y)) (* z 2)) (/ (* 3 x) (* 27 y)) (* 3 x) x (* 27 y) 27 y (* z 2) z 2 (sqrt t) t)

rewrite31.0ms (0.6%)

Memory

1.8MiB live, 49.3MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	347
0	85	308
0	179	308

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

35 → 53

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 27 binary64) y)) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
(acos.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 27 binary64) y)) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
(.f64 (/.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 27 binary64) y)) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 27 binary64) y)) (*.f64 z #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 27 binary64) y))
(*.f64 #s(literal 3 binary64) x)
x
(*.f64 #s(literal 27 binary64) y)
#s(literal 27 binary64)
y
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(sqrt.f64 t)
t
#s(approx (* (/ 1 3) (acos (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (/ (/ (* 3 x) (* 27 y)) (* z 2)) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (/ (* 3 x) (* 27 y)) #s(hole binary64 (* 1/9 (/ x y))))
#s(approx (* 3 x) #s(hole binary64 (* 3 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* 27 y) #s(hole binary64 (* 27 y)))
#s(approx y #s(hole binary64 y))
#s(approx (* z 2) #s(hole binary64 (* 2 z)))
#s(approx z #s(hole binary64 z))
#s(approx (sqrt t) #s(hole binary64 (sqrt t)))
#s(approx t #s(hole binary64 t))
#s(approx (* (/ 1 3) (acos (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (acos (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (sqrt t) #s(hole binary64 (* -1 (* (sqrt t) (pow (sqrt -1) 2)))))

Outputs
(.f64 (acos.f64 (.f64 (pow.f64 t #s(literal 1/2 binary64)) (/.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64)) (.f64 #s(literal 2 binary64) z)))) #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (pow.f64 t #s(literal 1/2 binary64)) (/.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64)) (.f64 #s(literal 2 binary64) z)))))
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (.f64 (pow.f64 t #s(literal 1/2 binary64)) (/.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64)) (*.f64 #s(literal 2 binary64) z)))))
(acos.f64 (.f64 (pow.f64 t #s(literal 1/2 binary64)) (/.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64)) (*.f64 #s(literal 2 binary64) z))))
(.f64 (pow.f64 t #s(literal 1/2 binary64)) (/.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64)) (*.f64 #s(literal 2 binary64) z)))
(.f64 (/.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64)) (*.f64 #s(literal 2 binary64) z)) (pow.f64 t #s(literal 1/2 binary64)))
(/.f64 (.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64)) (pow.f64 t #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) z))
(/.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) z) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64))) (neg.f64 (.f64 #s(literal 2 binary64) z)))
(/.f64 (.f64 x #s(literal 3 binary64)) (.f64 (.f64 y #s(literal 27 binary64)) (.f64 #s(literal 2 binary64) z)))
(/.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64)) (.f64 #s(literal 2 binary64) z))
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
(*.f64 #s(literal 1/9 binary64) (/.f64 x y))
(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
(/.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) y)
(/.f64 (*.f64 #s(literal 1/9 binary64) x) y)
(/.f64 (neg.f64 (.f64 x #s(literal 3 binary64))) (neg.f64 (.f64 y #s(literal 27 binary64))))
(/.f64 (.f64 x #s(literal 3 binary64)) (.f64 y #s(literal 27 binary64)))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
x
(*.f64 y #s(literal 27 binary64))
(*.f64 #s(literal 27 binary64) y)
#s(literal 27 binary64)
y
(*.f64 #s(literal 2 binary64) z)
(*.f64 z #s(literal 2 binary64))
(+.f64 z z)
z
#s(literal 2 binary64)
(pow.f64 t #s(literal 1/2 binary64))
(sqrt.f64 t)
t
#s(approx (* (/ 1 3) (acos (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (pow.f64 t #s(literal 1/2 binary64))) (/.f64 x (.f64 z y)))) #s(literal 1/3 binary64)))
#s(approx (acos (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t))) (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (pow.f64 t #s(literal 1/2 binary64))) (/.f64 x (*.f64 z y)))))
#s(approx (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t)) (.f64 (.f64 #s(literal 1/18 binary64) (pow.f64 t #s(literal 1/2 binary64))) (/.f64 x (*.f64 z y))))
#s(approx (/ (/ (* 3 x) (* 27 y)) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64)))
#s(approx (/ (* 3 x) (* 27 y)) (*.f64 (/.f64 x y) #s(literal 1/9 binary64)))
#s(approx (* 3 x) (*.f64 x #s(literal 3 binary64)))
#s(approx x x)
#s(approx (* 27 y) (*.f64 y #s(literal 27 binary64)))
#s(approx y y)
#s(approx (* z 2) (*.f64 #s(literal 2 binary64) z))
#s(approx z z)
#s(approx (sqrt t) (pow.f64 t #s(literal 1/2 binary64)))
#s(approx t t)
#s(approx (* (/ 1 3) (acos (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (pow.f64 t #s(literal 1/2 binary64))) (.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))) #s(literal 1/3 binary64)))
#s(approx (acos (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t))) (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (pow.f64 t #s(literal 1/2 binary64))) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))))
#s(approx (* (/ (/ (* 3 x) (* 27 y)) (* z 2)) (sqrt t)) (.f64 (.f64 #s(literal -1/18 binary64) (pow.f64 t #s(literal 1/2 binary64))) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z))))
#s(approx (sqrt t) (.f64 (.f64 #s(literal -1 binary64) (pow.f64 t #s(literal 1/2 binary64))) #s(literal -1 binary64)))

eval6.0ms (0.1%)

Memory: 15.3MiB live, 15.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 142 to 230 computations (79.9% saved)

prune33.0ms (0.6%)

Memory

-38.5MiB live, 59.1MiB allocated; 7ms collecting garbage

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	1	55

Accuracy

98.5%

Counts

55 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 27 binary64) y)) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

Status

Accuracy

Program

✓

98.5%

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 27 binary64) y)) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

Compiler

Compiled 57 to 43 computations (24.6% saved)

regimes17.0ms (0.3%)

Memory

0.1MiB live, 47.6MiB allocated; 1ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 27 binary64) y)) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

Outputs

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 27 binary64) y)) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

Calls

13 calls:

2.0ms	(sqrt.f64 t)
1.0ms	(*.f64 z #s(literal 2 binary64))
1.0ms	y
1.0ms	x
1.0ms	t

Results

Accuracy	Segments	Branch
98.5%	1	`(sqrt.f64 t)`
98.5%	1	`(*.f64 z #s(literal 2 binary64))`
98.5%	1	`(*.f64 y #s(literal 27 binary64))`
98.5%	1	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
98.5%	1	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
98.5%	1	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
98.5%	1	`(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`
98.5%	1	`(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))`
98.5%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))`
98.5%	1	`x`
98.5%	1	`y`
98.5%	1	`z`
98.5%	1	`t`

Compiler

Compiled 83 to 108 computations (-30.1% saved)

regimes14.0ms (0.2%)

Memory

39.0MiB live, 39.0MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

Outputs

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

Calls

13 calls:

1.0ms	(sqrt.f64 t)
1.0ms	t
1.0ms	y
1.0ms	z
1.0ms	(*.f64 z #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
98.5%	1	`(sqrt.f64 t)`
98.5%	1	`(*.f64 z #s(literal 2 binary64))`
98.5%	1	`(*.f64 y #s(literal 27 binary64))`
98.5%	1	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
98.5%	1	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
98.5%	1	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
98.5%	1	`(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`
98.5%	1	`(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))`
98.5%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))`
98.5%	1	`x`
98.5%	1	`y`
98.5%	1	`z`
98.5%	1	`t`

Compiler

Compiled 83 to 108 computations (-30.1% saved)

simplify31.0ms (0.6%)

Memory

1.5MiB live, 48.6MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	38
1	28	38
2	32	38
3	52	38
4	202	38
5	2132	38

Stop Event

1×	node limit

Calls

Call 1

Inputs

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 27 binary64) y)) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

Outputs

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 27 binary64) y)) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

derivations1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 38 to 25 computations (34.2% saved)

preprocess40.0ms (0.7%)

Memory: -13.2MiB live, 81.4MiB allocated; 9ms collecting garbage
Compiler: Compiled 190 to 158 computations (16.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze361.0ms (6.6%)

sample4.3s (79.6%)

explain198.0ms (3.6%)

preprocess228.0ms (4.2%)

eval0.0ms (0%)

prune1.0ms (0%)

series37.0ms (0.7%)

rewrite36.0ms (0.7%)

eval5.0ms (0.1%)

prune54.0ms (1%)

series20.0ms (0.4%)

rewrite31.0ms (0.6%)

eval6.0ms (0.1%)

prune33.0ms (0.6%)

regimes17.0ms (0.3%)

regimes14.0ms (0.2%)

simplify31.0ms (0.6%)

derivations1.0ms (0%)

preprocess40.0ms (0.7%)

end0.0ms (0%)

Profiling